Format Input The first line of the input contains an integer T, the number of test case. The next T line consist a positive integer X. Format Output For each test case, print Case #X: Y. X is the number of test case and Y is the result from function "isPrime (x)". Constraints 1<= X <= 100 2 <= X <= 1.000 Sample Input Sample Output Case #1: Prime Number Case #2: Not Prime Number Case #3: Prime Number 3 3 4 7
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- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.1. Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, then the pattern generated is:********************Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the above pattern. 2. A palindrome is a string that reads the same both forward and backward. For example, the string "madam" is a palindrome. Write a program that uses a recursive function to check whether a string is a palindrome. Your program must contain a value-returning recursive function that returns true if the string is a palindrome and false otherwise. Do not use any global variables; use the appropriate parameter.Create a recursive function that multiplies two positive integers without the need of the * (or /) operator. You can utilise addition, subtraction, and bit shifting, but you should keep the amount of operations to a minimum.
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- Write a recursive function PrintPattern2 that receives two arguments: (i) a character ch; (ii) number of lines and print the pattern.Example:PrintPattern2('*',5) will print the following pattern1. Write a recursive function that takes a string as an input and returns the reverse of the string. 2.Write a recursive function rec_string that produces the output shown below for the corresponding function calls. Write a main function to test the function. Method call rec_string(‘abcde’), will produce the following output: *ede cde bcde abcde Method call rec_string(‘abc’), will produce the following output: *cbc abc 3. Write a recursive function for Euclid's algorithm to find the greatest common divisor (gcd) of two positive integers. gcd is the largest integer that divides evenly into both of them. For example, the gcd(102, 68) = 34. You may recall learning about the greatest common divisor when you learned to reduce fractions. For example, we can simplify 68/102 to 2/3 by dividing both numerator and denominator by 34, their gcd. Finding the gcd of huge numbers is an important problem that arises in many commercial applications. We can efficiently compute the gcd using the…4. Design a recursive function that accepts an integer argument, n, and prints every second number from n down to a minimum of 0. Assume that n is always a positive integer.
- in c++ The Fibonacci number is the one in which each number is the sum of the two precedingnumbers. An example is shown below:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...Write a recursive function that prints the first fifteen Fibonacci numbers. Your functionmust be recursive. Note that the first three Fibonacci numbers are 0, 1, 1, but after that ,the Fibonacci number is n = n - 1 + n - 2. Note that you will write only a function.C++ A word is considered elfish if it contains the letters: e, l, and f in it, in any order. For example,we would say that the following words are elfish: whiteleaf, tasteful, unfriendly, and waffles,because they each contain those letters.Write a function called elfish that recursively checks, given a word, if that word is elfish or not.4.7.1: Writing a recursive math function. Write code to complete raise_to_power(). Note: This example is for practicing recursion; a non-recursive function, or using the built-in function math.pow(), would be more common.Sample output with inputs: 4 24^2 = 16 def raise_to_power(base_val, exponent_val):if exponent_val == 0:result_val = 1else:result_val = base_val * ''' Your solution goes here ''' return result_val user_base = int(input())user_exponent = int(input()) print('%d^%d = %d' % (user_base, user_exponent,raise_to_power(user_base, user_exponent))) need solution to result_val =base_val* ???????